Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

320×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	25	8
1	50	8
2	106	8
3	208	8
4	322	6
5	520	6
6	1439	6
7	5002	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.2b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

18.0ms	(* (* z 2.0) (- 1.0 t))
18.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series169.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (* z 2.0) (- 1.0 t))
55.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
64.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify74.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	553	869
1	2416	670
2	5001	668

prune264.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.3b	(/ 1 (* t z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `*-un-lft-identity`
13×	`fma-def`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
8×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `fma-udef` `div-inv`
1×	`+-commutative` `associate-+r+` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow`

Counts

3 → 68

Calls

3 calls:

0.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
11.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
5.0ms	(/ 1 (* t z))

series112.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
64.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
14.0ms	(/ 1 (* t z))

simplify95.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	227	393
1	815	355
2	3966	341
3	5001	339

prune219.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
0.3b	(/ (/ 1 t) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def` `associate-/l*`
12×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`div-exp` `div-inv`
5×	`add-log-exp`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `rec-exp` `associate-+r+` `frac-2neg` `flip3-+` `1-exp` `clear-num` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

3 → 112

Calls

3 calls:

0.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
14.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
6.0ms	(/ (/ 1 t) z)

series111.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
59.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
13.0ms	(/ (/ 1 t) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	435	754
1	1557	686
2	5001	636

prune311.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 t))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-div` `div-inv`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (/ 1 t))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series765.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (/ 1 t))
190.0ms	(cbrt z)
195.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify63.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	117	266
1	257	252
2	637	237
3	1849	215
4	5002	215

prune291.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample696.0ms

Algorithm

intervals

Results

429.0ms

10423×

body

valid